Elastic gauge fields and Hall viscosity of Dirac magnons

We analyze the coupling of elastic lattice deformations to the magnon degrees of freedom of magnon Dirac materials. For a honeycomb ferromagnet we find that, as happens in the case of graphene, elastic gauge fields appear coupled to the magnon pseudospinors. For deformations that induce constant pse...

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Published in:Physical review. B 2018-02, Vol.97 (5), Article 054404
Main Authors: Ferreiros, Yago, Vozmediano, María A. H.
Format: Article
Language:English
Subjects:
Degrees of freedom
Elastic deformation
Ferromagnetism
Graphene
Honeycomb construction
Magnons
Quantum phenomena
Viscosity
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description We analyze the coupling of elastic lattice deformations to the magnon degrees of freedom of magnon Dirac materials. For a honeycomb ferromagnet we find that, as happens in the case of graphene, elastic gauge fields appear coupled to the magnon pseudospinors. For deformations that induce constant pseudomagnetic fields, the spectrum around the Dirac nodes splits into pseudo-Landau levels. We show that when a Dzyaloshinskii-Moriya interaction is considered, a topological gap opens in the system and a Chern-Simons effective action for the elastic degrees of freedom is generated. Such a term encodes a phonon Hall viscosity response, entirely generated by quantum fluctuations of magnons living in the vicinity of the Dirac points. The magnon Hall viscosity vanishes at zero temperature, and grows as temperature is raised and the states around the Dirac points are increasingly populated.
doi_str_mv 10.1103/PhysRevB.97.054404
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source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects Degrees of freedom
Elastic deformation
Ferromagnetism
Graphene
Honeycomb construction
Magnons
Quantum phenomena
Viscosity
title Elastic gauge fields and Hall viscosity of Dirac magnons
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